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The third quadrant.

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Q: Which quadrant would an answer be in if tan was positive and sin was negative?
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Why is the tangent positive on quadrant III?

The tangent function is equal to the sine divided by the cosine. In quadrant III, both sin and cos are negative - and a negative divided by another negative is positive. Thus it follows that the tangent is positive in QIII.

Tan equals 0.3421 sin equals 0.3237 Which quadrant does it terminate?

The value of tan and sin is positive so you must search quadrant that tan and sin value is positive. The only quadrant fill that qualification is Quadrant 1.

How could you tell if tan is negative or positive in a quadrant Example in quadrant II cos - and sin is plus but what is tan?

There's a mnemonic for this: All Students Take Calculus. Starting in the first quadrant, and moving counterclockwise until the last, give each quadrant the first letter of thos words in order. A represents all 3, s represents sine, t represents tangent, and c represents cosine. If the letter appears in a quadrant, it is positive there. If not, it is negative there.In quadrant 2, only sine is positive.

What is sin of 3 pi over 2?

sin pi/2 =1 sin 3 pi/2 is negative 1 ( it is in 3rd quadrant where sin is negative

Is Sin a negative function or positive?


If costheta -.444 with theta in quadrant 2 find sintheta?

Since theta is in the second quadrant, sin(theta) is positive. sin2(theta) = 1 - cos2(theta) = 0.803 So sin(theta) = +sqrt(0.803) = 0.896.

How do you solve sine theta equal to negative one half?

Consider angles in standard position, and note that for the equation sin θ = 0.5, the angle in the first quadrant is θ = 30° The sin function is positive in quadrants I and II, and negative in quadrants III and IV, so there are two basic answers, one in quadrant III and another in quadrant IV. In quadrant III, the angle is 180° + 30° = 210° In quadrant IV, the angle is 360° - 30° = 330° Of course, this is a wave function so there are an infinite number of answers. You can add full circles (i.e. multiples of 360°) to either of these answers to get more answers. In quadrant III, the angles are 210°, 570°, 930°, ... In quadrant IV, the angles are 330°, 690°, 1050°, ...

Why does sin negative theta equal sin positive theta?

It is not! So the question is irrelevant.

Why sin positive in 1st quadrant?

That follows from the definition of the sine function. There are several equivalent definitions, but for example, it can be defined as the y-coordinate of the unit circle, as a function of the angle. You start measuring the circle from coordinates (1,0), and continue counterclockwise. _________________________________________ This is because both sin definition is the length of line opposite to the angle divided by the angle side line. Since both lines are positive in the first quadrant, the sin value is positive.

What is tan theta in terms of sin theta in quadrant II?

tan = sin/cos Now cos2 = 1 - sin2 so cos = +/- sqrt(1 - sin2) In the second quadrant, cos is negative, so cos = - sqrt(1 - sin2) So that tan = sin/[-sqrt(1 - sin2)] or -sin/sqrt(1 - sin2)

Tan equals 0.3421 sin equals 3237 Which quadrant does it terminate?

Assuming sin equals 0.3237, the angle is in quadrant I.

A is an angle whose sin is 37 and whose secant is negative Its vertex is the origin and one side is the positive x axis. What quadrant does the terminal side of the angle reach?

There is no such angle, since the sine of an angle cannot be greater than 1.